Best Known (91, 91+29, s)-Nets in Base 8
(91, 91+29, 1026)-Net over F8 — Constructive and digital
Digital (91, 120, 1026)-net over F8, using
- 6 times m-reduction [i] based on digital (91, 126, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 63, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- trace code for nets [i] based on digital (28, 63, 513)-net over F64, using
(91, 91+29, 1032)-Net in Base 8 — Constructive
(91, 120, 1032)-net in base 8, using
- base change [i] based on digital (61, 90, 1032)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (16, 30, 516)-net over F16, using
- trace code for nets [i] based on digital (1, 15, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- trace code for nets [i] based on digital (1, 15, 258)-net over F256, using
- digital (31, 60, 516)-net over F16, using
- trace code for nets [i] based on digital (1, 30, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- trace code for nets [i] based on digital (1, 30, 258)-net over F256, using
- digital (16, 30, 516)-net over F16, using
- (u, u+v)-construction [i] based on
(91, 91+29, 11989)-Net over F8 — Digital
Digital (91, 120, 11989)-net over F8, using
(91, 91+29, large)-Net in Base 8 — Upper bound on s
There is no (91, 120, large)-net in base 8, because
- 27 times m-reduction [i] would yield (91, 93, large)-net in base 8, but